منابع مشابه
global results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
On Some Fourth Order Elliptic Boundary Value Problems
The method of defining a function on the solution of a differential equation and deriving results about the solution of the equation by means of the auxillary function is a well-known. Many mathematicians have used this method to obtain various kinds of results for the secnd and fourth order partial diferential equations. In [1] Payne used this idea and obtaind some maximum principles from the ...
متن کاملOn Some Boundary Value Problems for an Ultrahyperbolic Equation
The correct formulation of a characteristic problem and a Darboux type problem in the special weighted functional spaces for an ultrahyperbolic equation is investigated. In the space of variables x1, x2, y1 and y2 we consider the ultrahyperbolic equation uy1y1 + uy2y2 − ux1x1 − ux2x2 = F. (1) Denote by D : −y1 < x1 < y1, 0 < y1 < +∞, a dihedral angle bounded by the characteristic surfaces S1 : ...
متن کاملOn Neumann Boundary Value Problems for Some Quasilinear Elliptic Equations
We study the role played by the indefinite weight function a(x) on the existence of positive solutions to the problem −div (|∇u|∇u) = λa(x)|u|u+ b(x)|u|u, x ∈ Ω, ∂u ∂n = 0, x ∈ ∂Ω , where Ω is a smooth bounded domain in Rn, b changes sign, 1 < p < N , 1 < γ < Np/(N − p) and γ 6= p. We prove that (i) if ∫ Ω a(x) dx 6= 0 and b satisfies another integral condition, then there exists some λ∗ suc...
متن کاملOn some dynamical problems related to boundary layer turbulence
A number of simplified dynamical problems is studied in an attempt to clarify some of the mechanisms leading to turbulence and the existing proposals to control this transition. A simplified set of boundary layer equations displays a solution that corresponds to the rolls and streaks instability and exhibits its streamwise localized nature. The effect of random phases as a device to control the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Lithuanian Mathematical Journal
سال: 1965
ISSN: 2669-1973
DOI: 10.15388/lmj.1965.19542